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Finding the Third Proportional to 25,128 and 36,924

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Solution

The third proportional to 25,128 and 36,924 is: 54,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,128 : 36,924 = 36,924 : x
  2. Step 2: Convert to fraction form
    25,128/36,924 = 36,924/x
  3. Step 3: Cross multiply
    25,128x = 36,924 × 36,924
  4. Step 4: Simplify right side
    25,128x = 1,363,381,776
  5. Step 5: Solve for x
    x = 1,363,381,776/25,128
  6. Step 6: Final answer
    x = 54,257.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.